'''Stæfrīmtācning''' (on [[Nīwum Englisce]] hāteþ ''algebra'') is dǣl [[rīmcræft]]es be þǣre cnēorlǣcinge þāra laga of [[weorcing (on rīmcræfte)|woercinge]] and [[gesibbness (on rīmcræfte)|gesibbnessum]], and þǣm timbrum and oncnāwnessum þe arīsaþ from heom, begānde [[besetednessa (on rīmcræfte)|besetednessa]], [[manigsetednessa]], [[efenweorðfindung]]a and [[stæfrīmtācningisc timber|stæfrīmtācningisce timbras]]. <!--Andefen [[eorþmet]]es, [[rīmcræftlic arāflung|analysisarāflung]]e, [[topologystōwlār]]e, [[combinatoricstellingalār]]a, and [[numberrīma theoryflītcræft]], algebraes is onestæfrīmtācning ofān theþāra mainhēafodlicena branches ofdǣla [[puresmǣte rīmlār|smǣtre mathematicsrīmlāre]].
TheÞæt partdǣl ofstæfrīmtācninge algebra calledgehāten [[elementarygrundstaðoliende algebrastæfrīmtācning]] is often partoft ofdǣl theþǣre curriculumlāre in [[secondaryōðerlic educationlǣrung|ōðerlicre lǣrunge]] and introducesinlǣdeþ theþā concept ofoncnāwnesse [[Variablemissenrīm (mathematicson rīmcræfte)|variablesmissenrīma]] representingþe tācniaþ [[numberrīm]]s. Cwidas Statements basedgestaðolode on theseþissum variablesmissenrīmum aresind manipulatedgestēorede usingnotiende theþā ruleslaga ofweorcinga operationsþā thatmann applymæg towyrcan numbersmid rīmum, such asswelce [[additionēacnung (on rīmcræfte)]]. Þis Thismæg canwesan be donegedōn for amissenlicum variety of reasonsintingum, includingbefōnde [[equation solvingefenweorþfindung]]. AlgebraStæfrīmtācning is muchswīðe broaderbrādre thanþonne elementarygrundstaðoliende algebrastæfrīmtācning; andhēo studiesis whatsēo happenscnēorlǣcing whenþæs differentgelimpeþ rulesþǣr ofmissenlica operationslaga areweorcinge usedsind gebrocen and whenþǣr operationsweorcinga aresind devisedworht fortō thingsōðrum otherþingum thanōðer numbersrīm. Addition<!--Ēacnung and [[multiplicationmanigfealding]] cancunnon bewesan generalizedbrǣded and theirheora preciseforrihtan definitionstōmearcunga lead toinlǣdaþ [[Algebraicstæfrīmtācningisc structuretimb|structuresstæfrīmtācningisce timbras]] suchswelce as [[group (mathematics)|groups]], [[ring (mathematics)|rings]] and [[field (mathematics)|fields]], studied in the area of mathematics called [[abstract algebra]].
